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Finding the Fourth Proportional to 104,082, 156,123 and 38,418

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Solution

The fourth proportional to 104,082, 156,123 and 38,418 is: 57,627

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082 : 156,123 = 38,418 : x
  2. Step 2: Convert to fraction form
    104,082/156,123 = 38,418/x
  3. Step 3: Cross multiply
    104,082x = 156,123 × 38,418
  4. Step 4: Simplify right side
    104,082x = 5,997,933,414
  5. Step 5: Solve for x
    x = 5,997,933,414/104,082
  6. Step 6: Final answer
    x = 57,627

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.